102011200100 has 72 divisors (see below), whose sum is σ = 226036840008. Its totient is φ = 39951360000.

The previous prime is 102011200073. The next prime is 102011200111. The reversal of 102011200100 is 1002110201.

It can be written as a sum of positive squares in 12 ways, for example, as 46455767296 + 55555432804 = 215536^2 + 235702^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949100 + ... + 1051100.

Almost surely, 2^102011200100 is an apocalyptic number.

102011200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113018420004).

102011200100 is an abundant number, since it is smaller than the sum of its proper divisors (124025639908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102011200100 is a wasteful number, since it uses less digits than its factorization.

102011200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102225 (or 102218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102011200100 its reverse (1002110201), we get a palindrome (103013310301).

The spelling of 102011200100 in words is "one hundred two billion, eleven million, two hundred thousand, one hundred".